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kvasek [131]
3 years ago
7

Transforming data

Mathematics
1 answer:
Papessa [141]3 years ago
7 0

Answer:

See below in bold.

Step-by-step explanation:

Mean = 150 cm = 150 * 0.033 feet

= 4.95 feet.

The standard deviation =  10 cm = 10 * 0.033

= 0.33 feet.

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Ind an equation for the nth term of the arithmetic sequence.<br><br> a14 = -33, a15 = 9
marin [14]

Answer:

a_n=42n-621

Step-by-step explanation:

This is arithmetic sequence so you should go to linear equations in your head.

Think of the question asking you to find the equation of line going through the points:

(14,-33) and (15,9).

First, let's find the slope.

You need to compute y's change over x's change.

The way I like to do that is line up the points vertically, subtract them, and then put 2nd difference over first.

Like this:

(  15  ,   9)

-(  14  ,  -33)

------------------

   1         42

So the slope is 42/1=42.

(The slope is our common difference.)

Now point slope form is:

y-y1=m(x-x1) where m is the slope and (x1,y1) is a point you know on the line.

So we have m=42 and (x1,y1)=(15,9).  (You could have chose the other point.)

y-9=42(x-15)

I'm going to put in slope-intercept form.  Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

y-9=42(x-15)

Solve for y by adding 9 on both sides:

y=42(x-15)+9

Distribute 42 to terms in the ( ) :

y=42x-42(15)+9

y=42x-630+9

y=42x-621

So we can which back to n now:

a_n=42n-621

5 0
3 years ago
Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6
horsena [70]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = 3/2x + 7/2}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}

Find:  \textsf{The equation in slope-intercept form}

Solution:  In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us.  After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - 2 = 3/2(x - (-1))}

<u>Simplify and distribute</u>

  • \textsf{y - 2 = 3/2(x + 1)}
  • \textsf{y - 2 = (3/2 * x) + (3/2 * 1)}
  • \textsf{y - 2 = 3/2x + 3/2}

<u>Add 2 to both sides</u>

  • \textsf{y - 2 + 2 = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 7/2}

Therefore, after completing the steps we were able to determine that the equation that fits the description is y = 3/2x + 7/2.

4 0
2 years ago
Write.82 as a percent and a fraction.​
Marizza181 [45]

Answer:

82% and 82/100 (or 41/50)

Step-by-step explanation:

multiply 100 times .82 to get the percent

.82 is 82/100

7 0
3 years ago
Select the simplification that accurately explains the following statement.
Mariana [72]

<u>Answer</u>

D


<u>Explanation</u>

9⁽¹/²⁾² =  (9⁽¹/²⁾)²

        = 9¹/² × 9¹/²           (Since the base are the same, we can add the power.)

         = 9⁽¹/² ⁺¹/²⁾

         = 9 ¹

           = 9

The correct simplification is D.

8 0
3 years ago
Below are two parallel lines with a third line intersecting them
Salsk061 [2.6K]

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

5 0
3 years ago
Read 2 more answers
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